Finding the Third Proportional to 82,173 and 117,427

Step by Step Solution

1. Step 1: Write the proportion equation
   82,173 : 117,427 = 117,427 : x
2. Step 2: Convert to fraction form
   82,173/117,427 = 117,427/x
3. Step 3: Cross multiply
   82,173x = 117,427 × 117,427
4. Step 4: Simplify right side
   82,173x = 13,789,100,329
5. Step 5: Solve for x
   x = 13,789,100,329/82,173
6. Step 6: Final answer
   x = 167,805.73